Quasi-sure stochastic analysis through aggregation

From MaRDI portal
Publication:428554

DOI10.1214/EJP.v16-950zbMath1245.60062arXiv1003.4431MaRDI QIDQ428554

Nizar Touzi, Jianfeng Zhang, Halil Mete Soner

Publication date: 22 June 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4431




Related Items (66)

Term structure modeling under volatility uncertaintyFatou closedness under model uncertaintyMoral hazard under ambiguityPathwise solvability of stochastic integral equations with generalized drift and non-smooth dispersion functionsDelay-dependent asymptotic stability of highly nonlinear stochastic differential delay equations driven by \(G\)-Brownian motionModel risk of contingent claimsRobust pricing-hedging dualities in continuous timeNonlinear predictable representation and \({\mathbb{L}^1} \)-solutions of backward SDEs and second-order backward SDEsRobust valuation, arbitrage ambiguity and profit \& loss analysisRobust maximization of asymptotic growth under covariance uncertaintyExistence of relaxed optimal control for $G$-neutral stochastic functional differential equations with uncontrolled diffusionProbabilistic interpretation for solutions of fully nonlinear stochastic pdesConvergence of utility indifference prices to the superreplication price in a multiple‐priors frameworkSecond-order BSDEs with general reflection and game options under uncertaintyAn extended McKean-Vlasov dynamic programming approach to robust equilibrium controls under ambiguous covariance matrixFinancial markets with volatility uncertaintyDynamic programming approach to principal-agent problemsPointwise Arbitrage Pricing Theory in Discrete TimeOptimal stopping with expectation constraints\(k\)-sample upper expectation linear regression-modeling, identifiability, estimation and predictionG-Gaussian processes under sublinear expectations and \(q \)-Brownian motion in quantum mechanicsBackward nonlinear expectation equationsDual formulation of second order target problemsWellposedness of second order backward SDEsRobust retirement and life insurance with inflation risk and model ambiguityRepresentation of solutions to 2BSDEs in an extended monotonicity settingDynamic programming principle for classical and singular stochastic control with discretionary stoppingAmbiguous volatility, possibility and utility in continuous timeA stochastic control approach to no-arbitrage bounds given marginals, with an application to lookback optionsConstructing sublinear expectations on path spaceSecond order backward stochastic differential equations with quadratic growthEfficient hedging under ambiguity in continuous timeOptimal arbitrage under model uncertaintyNo-arbitrage with multiple-priors in discrete timeA stochastic recursive optimal control problem under the G-expectation frameworkA decomposition of general premium principles into risk and deviationLocal wellposedness of coupled backward stochastic differential equations driven by \(G\)-Brownian motionsOn nonlinear expectations and Markov chains under model uncertaintyMartingale problem under nonlinear expectationsItô's calculus under sublinear expectations via regularity of PDEs and rough pathsDuality for pathwise superhedging in continuous timeRobust Markowitz mean‐variance portfolio selection under ambiguous covariance matrixMartingale representation theorem for the \(G\)-expectationArbitrage-free modeling under Knightian uncertaintyKolmogorov-type and general extension results for nonlinear expectationsA new existence result for second-order BSDEs with quadratic growth and their applicationsOn relaxed stochastic optimal control for stochastic differential equations driven by G-Brownian motionGood deal hedging and valuation under combined uncertainty about drift and volatilityFinancial asset price bubbles under model uncertaintyOptimal control with delayed information flow of systems driven by \(G\)-Brownian motionDiscrete-time probabilistic approximation of path-dependent stochastic control problemsWeak approximation of second-order BSDEsSecond-order BSDEs with jumps: formulation and uniquenessNonlinear Lévy processes and their characteristicsRetracted: Sublinear expectation nonlinear regression for the financial risk measurement and managementOne-dimensional game-theoretic differential equationsPathwise convergence under Knightian uncertaintyReduced-form framework under model uncertaintyROBUST UTILITY MAXIMIZATION IN NONDOMINATED MODELS WITH 2BSDE: THE UNCERTAIN VOLATILITY MODELOptimal contracting under mean-volatility joint ambiguity uncertaintiesMinimal supersolutions of BSDEs under volatility uncertaintyModel Uncertainty: A Reverse ApproachSeparability Versus Robustness of Orlicz Spaces: Financial and Economic PerspectivesExistence of relaxed stochastic optimal control for G-SDEs with controlled jumpsThe maximum maximum of a martingale with given \(n\) marginalsUniversal arbitrage aggregator in discrete-time markets under uncertainty




This page was built for publication: Quasi-sure stochastic analysis through aggregation